In a police training exercise twelve new recruits are to break into six pairs for physical skill drills. How many pairings are possible? Hint: The order of the recruits within a pair does not matter, nor does the order of the pairs. One way of thinking about this problem might be to consider lining up the 12 recruits left-to-right, and then think about how many recruits are available to be paired with the left-most player. Then think about the remaining 10 recruits and think about how many recruits are available to be matched with the now left-most player of the set of 10 players. Repeat this process to count the total number of pairings possible.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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In a police training exercise twelve new recruits are to break into six pairs for physical skill
drills. How many pairings are possible?
Hint: The order of the recruits within a pair does not matter, nor does the order of the
pairs. One way of thinking about this problem might be to consider lining up the 12 recruits
left-to-right, and then think about how many recruits are available to be paired with the
left-most player. Then think about the remaining 10 recruits and think about how many
recruits are available to be matched with the now left-most player of the set of 10 players.
Repeat this process to count the total number of pairings possible.
Transcribed Image Text:In a police training exercise twelve new recruits are to break into six pairs for physical skill drills. How many pairings are possible? Hint: The order of the recruits within a pair does not matter, nor does the order of the pairs. One way of thinking about this problem might be to consider lining up the 12 recruits left-to-right, and then think about how many recruits are available to be paired with the left-most player. Then think about the remaining 10 recruits and think about how many recruits are available to be matched with the now left-most player of the set of 10 players. Repeat this process to count the total number of pairings possible.
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